Transcript 6.5 Inequalities for two triangles

-SSS Inequality
-SAS Inequality
12
12
9
9
Theorem : SAS Inequality Theorem
If 2 sides of one triangle are congruent to 2 sides
of another triangle, but the included angle of the
first triangle is larger than the included angle of
the second, then the third side of the first triangle
is longer than the third side of the second triangle.
B
A
Theorem: SSS Inequality Theorem
If 2 sides of one triangle are congruent to 2 sides of
another triangle, but the third side of the first
triangle is longer than the third side of the second
triangle, then the included angle of the first
triangle is larger than the included angle of the
second triangle.
The SSS Inequality is the converse of the SAS Inequality.
Which angle should be
bigger?